Which is greater than 4? (a) 5, Which is the smallest? (a) -1, Combine terms: 12a + 26b -4b – 16a. (a) 4a + 22b, Simplify: (4 – 5) – (13 – 18 + 2). (a) -1, What is |-26|? (a) -26, Multiply: (x – 4)(x + 5) (a) x2 + 5x - 20, Factor: 5x2 – 15x – 20. (a) 5(x-4)(x+1), Factor: 3y(x – 3) -2(x – 3). Is this all correct>>???

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Ответ:

jamieric0324

31.01.2021

Mathematics

$\large\boxed{f(x)=\dfrac{4}{x+2}+5}$

Step-by-step explanation:

$f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5$

The rational function has a y-intercept of 7. what is the equation for this function?

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